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Finding the Fourth Proportional to 14,715.68, 20,306.09 and 9,050.74

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Solution

The fourth proportional to 14,715.68, 20,306.09 and 9,050.74 is: 12,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715.68 : 20,306.09 = 9,050.74 : x
  2. Step 2: Convert to fraction form
    14,715.68/20,306.09 = 9,050.74/x
  3. Step 3: Cross multiply
    14,715.68x = 20,306.09 × 9,050.74
  4. Step 4: Simplify right side
    14,715.68x = 183,785,112.87
  5. Step 5: Solve for x
    x = 183,785,112.87/14,715.68
  6. Step 6: Final answer
    x = 12,489.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.